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This article reviews known results and contains new ones concerning the power spectra of large classes of signals and random fields driven by an underlying point process, such as spatial shot noises (with random impulse response and arbitrary basic station ...
We prove that for any given R between 0 and 1 the best threshold value for a regular LDPC code of rate R with common variable degree v and common check degree c occurs when v is at least 3 and is minimal subject to the condition R=1−v/c ...
This paper focuses on the statistical analysis of an adaptive real-time feedback scheduling technique based on imprecise computation. We consider two-version tasks made of a mandatory and an optional part to be scheduled according to a feedback control rat ...
Recently, different hybrid GNSS/cellular methods combining GNSS measurements with cellular network measurements have been proposed. These methods are designed to improve the availability (and accuracy) of position determination in situations where few sate ...
In this paper the Continuous Wavelet Transform on the sphere is exploited to build the asociated Discrete Wavelet Frames. First, the half-continuous frames, i.e. frames where the position remains a continuous variable, is presented and then the fully discr ...
A fundamental challenge in modern mantle geochemistry is to link geochemical data with geological and geophysical observations. Most of the early geochemical models involved a layered mantle and the concept of geochemical reservoirs. Indeed, the two layer ...
In this technical report the Discrete Wavelet Frames are build on the already existing Spherical Continuous Wavelet Transform. The spherical half-continuous frames are explored, i.e when the position on the sphere is kept continuous variable. Then, the con ...
Multistage carcinogenesis models describe the evolution of the cells in an individual's organ from a normal stage to a pre-neoplastic stage to a neoplastic stage. The triggers for the passage from one stage to the next one are presumed to be genetic altera ...
This thesis is a contribution to multivariate extreme value statistics. The tail of a multivariate distribution function is characterized by its spectral distribution, for which we propose a new semi-parametric model based on mixtures of Dirichlet distribu ...
The statistical assessment of the lightning-performances of distribution lines must take into account the presence of protection devices such as surge arresters and shielding wire/neutral groundings. Indeed, the presence of those devices does modify the in ...